Question

m || n, find the value of x. (8x + 14)° (9x - 4)°

Explanation:

Step1: Use the property of consecutive interior angles

Since \(m\parallel n\), the sum of \((8x + 14)^{\circ}\) and \((9x-4)^{\circ}\) is \(180^{\circ}\). So, \(8x + 14+9x - 4=180\).

Step2: Simplify the equation

Combine like - terms: \((8x+9x)+(14 - 4)=180\), which gives \(17x+10 = 180\).

Step3: Solve for \(x\)

Subtract \(10\) from both sides: \(17x=180 - 10\), so \(17x=170\). Then divide both sides by \(17\): \(x=\frac{170}{17}\).

Answer:

\(x = 10\)